Question

a boat is 400 feet away from one dock and 500 from another. the angle between them is 45 degrees. whats the distance between the docks?

Answer 1

Answer:

356.6 m

Step-by-step explanation:

Applying the formula

c² = a² + b² - 2abCosC

here a = 400

        b = 500

         C = 45°

         c =  the distance between the docks

=> c² = 400² + 500² - 2*400*500Cos45

=>c² =  100² ( 4² + 5² - 2 *4 * 5 Cos45)

=> c² = 100²( 16 + 25 - 40Cos45)

=> c² = 100² ( 41 - 28.28)

=> c² = 100² (12.72)

=> c = 356.6  m

the distance between the docks = 356.6 m